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Finding the Fourth Proportional to 384,459.80, 577,272.90 and 295,813.40

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Solution

The fourth proportional to 384,459.80, 577,272.90 and 295,813.40 is: 444,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,459.80 : 577,272.90 = 295,813.40 : x
  2. Step 2: Convert to fraction form
    384,459.80/577,272.90 = 295,813.40/x
  3. Step 3: Cross multiply
    384,459.80x = 577,272.90 × 295,813.40
  4. Step 4: Simplify right side
    384,459.80x = 170,765,059,276.86
  5. Step 5: Solve for x
    x = 170,765,059,276.86/384,459.80
  6. Step 6: Final answer
    x = 444,168.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.